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arXiv:quant-ph/9908068 · Physical Review A

Two-dimensional nonlinear dynamics of evanescent-wave guided atoms in a hollow fiber

X. M. Liu, Gerard J Milburn

Published Mar 30, 2000• 4 citations
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Abstract

We describe the classical and quantum two-dimensional nonlinear dynamics of large blue-detuned evanescent-wave guiding cold atoms in hollow fiber. We show that chaotic dynamics exists for classic dynamics, when the intensity of the beam is periodically modulated. The two-dimensional distributions of atoms in $(x,y)$ plane are simulated. We show that the atoms will accumulate on several annular regions when the system enters a regime of global chaos. Our simulation shows that, when the atomic flux is very small, a similar distribution will be obtained if we detect the atomic distribution once each the modulation period and integrate the signals. For quantum dynamics, quantum collapses, and revivals appear. For periodically modulated optical potential, the variance of atomic position will be suppressed compared to the no modulation case. The atomic angular momentum will influence the evolution of wave function in two-dimensional quantum system of hollow fiber.

DOI
10.1103/physreva.61.053401

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Two dimensional nonlinear dynamics of evanescent-wave guiding atoms in hollow fiber

X. M. Liu, Gerard J Milburn

This paper has been withdrawn due to same as quant-ph/9908068

arXiv:quant-ph/9908067•Aug 20, 1999•0 citations
We describe the classical and quantum two-dimensional nonlinear dynamics of large blue-detuned evanescent-wave guiding cold atoms in hollow fiber. We show that chaotic dynamics exists for classic dynamics, when the intensity of the beam is periodically modulated. The two-dimensional distributions of atoms in (x,y)(x,y)(x,y) plane are simulated. We show that the atoms will accumulate on several annular regions when the system enters a regime of global chaos. Our simulation shows that, when the atomic flux is very small, a similar distribution will be obtained if we detect the atomic distribution once each the modulation period and integrate the signals. For quantum dynamics, quantum collapses, and revivals appear. For periodically modulated optical potential, the variance of atomic position will be suppressed compared to the no modulation case. The atomic angular momentum will influence the evolution of wave function in two-dimensional quantum system of hollow fiber.
In this thesis, I study the classical and quantum nonlinear dynamics of two-level atoms in a donut beam, an evanescent beam guiding atoms in a hollow fiber and atoms in an optical standing wave of high-finesse cavity. The laser fields are far-off-resonant beams. The two dimensional classical nonlinear dynamics of atoms in a donut beam and an evanescent-wave in hollow fiber are investigated. Chaotic dynamics exists for classic dynamics of cold atoms in a donut beam and hollow fiber, when the intensity of the beam is periodically modulated. The atoms will accumulate on several annular regions when the system enters a regime of global chaos. The two dimensional quantum nonlinear dynamics of an atom in hollow fiber are investigated. The quantum system of single atom dynamics in cavity QED is investigated. For continuous observation of the nonlinear dynamics of single atom trapped in a high-finesse cavity by a standing wave with intensity modulation, the conditional Hilbert space dynamics of this system, subject to measurement induced perturbations, depends strongly on whether the corresponding classical dynamics is regular or chaotic. The influence of decoherence due to homodyne measurement is investigated. The evolution of Wigner function shows that the higher order quantum correction terms will play an important role together with potential nonlinearity and measurement strength. The decoherence will result in a remarkable improvement for classical-quantum correspondence.
We describe the classical two-dimensional nonlinear dynamics of cold atoms in far-off-resonant donut beams. We show that chaotic dynamics exists there for charge greater than unity, when the intensity of the beam is periodically modulated. The two-dimensional distributions of atoms in the (x,y)(x,y)(x,y) plane for charge 2 are simulated. We show that the atoms will accumulate on several ring regions when the system enters a regime of global chaos.
We use evanescent laser light to guide atoms through hollow-core optical fibers. The light, detuned to the blue side of rubidium's D2{D}_{2}D2​ resonance lines, is launched into the glass region of a hollow capillary fiber and guided through the fiber by total internal reflection from the glass walls. Atoms interacting with the evanescent component of the field are repelled from the wall and guided through the fiber hollow. A second laser tuned to the red side of resonance is used to initially inject the atoms into the evanescent guide. An optical intensity threshold for guiding is observed as the evanescent-field-induced dipole forces exceed the van der Waals forces.
Laser-cooled atoms from a low-velocity atomic source are guided in a hollow-core optical fiber using the evanescent-wave dipole force from blue-detuned laser light launched into the glass region of the fiber. The transverse velocity of the guided atoms corresponds to a temperature of $50 \ensuremath{\mu}\mathrm{K}.$ We achieve a maximum flux through a 23.5-cm-long fiber of 590 000 atoms/second with a laser power of 55 mWatts at a detuning of 6 GHz. With larger detunings of 40 GHz, spontaneous emission from the atoms inside the fiber can be suppressed and the atom's internal-state population is preserved. We identify two major loss mechanisms for the guiding process and discuss possible solutions.
Laser radiation propagating through a hollow-core fiber exerts a central force on atoms toward the beam axis. Motion of Cs atoms guided through a glass capillary by the optical gradient force is experimentally investigated by the parametric excitation method, in which periodic modulation of the potential depth resonantly enhances atomic oscillations around the fiber axis. Broadband structure of the observed excitation spectrum reflects an amplitude dependence of the characteristic frequency of oscillation in the nonlinear potential. Numerical analysis predicts that transverse atomic motion becomes chaotic when the optical potential depth is periodically modulated.